Elliptic curve search results

Results (18 matches)

 

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
12696.f1	12696m1	12696.f	12696m	$1$	$1$	\( 2^{3} \cdot 3 \cdot 23^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$6$	$0$	$1.253090465$	$1$		$2$	$1152$	$-0.054289$	$23552/27$	$0.83739$	$2.31591$	$[0, -1, 0, 31, -75]$	\(y^2=x^3-x^2+31x-75\)	6.6.0.b.1	$[(3, 6)]$
12696.j1	12696k1	12696.j	12696k	$1$	$1$	\( 2^{3} \cdot 3 \cdot 23^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 23^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$6$	$0$	$6.573887805$	$1$		$0$	$26496$	$1.513458$	$23552/27$	$0.83739$	$4.30690$	$[0, -1, 0, 16223, 782293]$	\(y^2=x^3-x^2+16223x+782293\)	6.6.0.b.1	$[(19/3, 24398/3)]$
25392.o1	25392o1	25392.o	25392o	$1$	$1$	\( 2^{4} \cdot 3 \cdot 23^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$6$	$0$	$1.135210187$	$1$		$2$	$2304$	$-0.054289$	$23552/27$	$0.83739$	$2.15763$	$[0, 1, 0, 31, 75]$	\(y^2=x^3+x^2+31x+75\)	6.6.0.b.1	$[(-2, 3)]$
25392.bf1	25392h1	25392.bf	25392h	$1$	$1$	\( 2^{4} \cdot 3 \cdot 23^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 23^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$6$	$0$	$3.086285878$	$1$		$0$	$52992$	$1.513458$	$23552/27$	$0.83739$	$4.01256$	$[0, 1, 0, 16223, -782293]$	\(y^2=x^3+x^2+16223x-782293\)	6.6.0.b.1	$[(526/3, 16399/3)]$
38088.f1	38088j1	38088.f	38088j	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 23^{2} \)	\( - 2^{8} \cdot 3^{9} \cdot 23^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$6$	$0$	$0.551380331$	$1$		$4$	$211968$	$2.062763$	$23552/27$	$0.83739$	$4.48325$	$[0, 0, 0, 146004, -21267916]$	\(y^2=x^3+146004x-21267916\)	6.6.0.b.1	$[(529, 14283)]$
38088.y1	38088c1	38088.y	38088c	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 23^{2} \)	\( - 2^{8} \cdot 3^{9} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$6$	$0$	$0.486771392$	$1$		$6$	$9216$	$0.495017$	$23552/27$	$0.83739$	$2.69963$	$[0, 0, 0, 276, 1748]$	\(y^2=x^3+276x+1748\)	6.6.0.b.1	$[(4, 54)]$
76176.s1	76176p1	76176.s	76176p	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 23^{2} \)	\( - 2^{8} \cdot 3^{9} \cdot 23^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$6$	$0$	$15.34679552$	$1$		$0$	$423936$	$2.062763$	$23552/27$	$0.83739$	$4.20680$	$[0, 0, 0, 146004, 21267916]$	\(y^2=x^3+146004x+21267916\)	6.6.0.b.1	$[(3433425/67, 7245695623/67)]$
76176.bx1	76176h1	76176.bx	76176h	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 23^{2} \)	\( - 2^{8} \cdot 3^{9} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$6$	$0$	$4.499067684$	$1$		$2$	$18432$	$0.495017$	$23552/27$	$0.83739$	$2.53317$	$[0, 0, 0, 276, -1748]$	\(y^2=x^3+276x-1748\)	6.6.0.b.1	$[(81, 743)]$
101568.m1	101568cn1	101568.m	101568cn	$1$	$1$	\( 2^{6} \cdot 3 \cdot 23^{2} \)	\( - 2^{14} \cdot 3^{3} \cdot 23^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$6$	$0$	$7.786739918$	$1$		$0$	$423936$	$1.860031$	$23552/27$	$0.83739$	$3.89080$	$[0, -1, 0, 64891, -6323235]$	\(y^2=x^3-x^2+64891x-6323235\)	6.6.0.b.1	$[(133188/13, 50753847/13)]$
101568.bi1	101568ci1	101568.bi	101568ci	$1$	$1$	\( 2^{6} \cdot 3 \cdot 23^{2} \)	\( - 2^{14} \cdot 3^{3} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$6$	$0$	$4.988290746$	$1$		$0$	$18432$	$0.292285$	$23552/27$	$0.83739$	$2.25893$	$[0, -1, 0, 123, 477]$	\(y^2=x^3-x^2+123x+477\)	6.6.0.b.1	$[(52/3, 991/3)]$
101568.cc1	101568bj1	101568.cc	101568bj	$1$	$1$	\( 2^{6} \cdot 3 \cdot 23^{2} \)	\( - 2^{14} \cdot 3^{3} \cdot 23^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$6$	$0$	$7.675742376$	$1$		$2$	$423936$	$1.860031$	$23552/27$	$0.83739$	$3.89080$	$[0, 1, 0, 64891, 6323235]$	\(y^2=x^3+x^2+64891x+6323235\)	6.6.0.b.1	$[(4342, 286647)]$
101568.dj1	101568y1	101568.dj	101568y	$1$	$1$	\( 2^{6} \cdot 3 \cdot 23^{2} \)	\( - 2^{14} \cdot 3^{3} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$6$	$0$	$3.949781403$	$1$		$2$	$18432$	$0.292285$	$23552/27$	$0.83739$	$2.25893$	$[0, 1, 0, 123, -477]$	\(y^2=x^3+x^2+123x-477\)	6.6.0.b.1	$[(102, 1041)]$
304704.bg1	304704bg1	304704.bg	304704bg	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 23^{2} \)	\( - 2^{14} \cdot 3^{9} \cdot 23^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$6$	$0$	$6.003615422$	$1$		$4$	$147456$	$0.841591$	$23552/27$	$0.83739$	$2.58442$	$[0, 0, 0, 1104, -13984]$	\(y^2=x^3+1104x-13984\)	6.6.0.b.1	$[(73, 675), (25, 171)]$
304704.bp1	304704bp1	304704.bp	304704bp	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 23^{2} \)	\( - 2^{14} \cdot 3^{9} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$6$	$0$	$3.806091936$	$1$		$2$	$147456$	$0.841591$	$23552/27$	$0.83739$	$2.58442$	$[0, 0, 0, 1104, 13984]$	\(y^2=x^3+1104x+13984\)	6.6.0.b.1	$[(9, 157)]$
304704.ex1	304704ex1	304704.ex	304704ex	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 23^{2} \)	\( - 2^{14} \cdot 3^{9} \cdot 23^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$6$	$0$	$13.75687050$	$1$		$0$	$3391488$	$2.409336$	$23552/27$	$0.83739$	$4.07431$	$[0, 0, 0, 584016, -170143328]$	\(y^2=x^3+584016x-170143328\)	6.6.0.b.1	$[(61174089/37, 478535712259/37)]$
304704.fh1	304704fh1	304704.fh	304704fh	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 23^{2} \)	\( - 2^{14} \cdot 3^{9} \cdot 23^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$6$	$0$	$1$	$4$	$2$	$0$	$3391488$	$2.409336$	$23552/27$	$0.83739$	$4.07431$	$[0, 0, 0, 584016, 170143328]$	\(y^2=x^3+584016x+170143328\)	6.6.0.b.1	$[]$
317400.by1	317400by1	317400.by	317400by	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 23^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$6$	$0$	$0.553770469$	$1$		$6$	$147456$	$0.750430$	$23552/27$	$0.83739$	$2.48974$	$[0, 1, 0, 767, -7837]$	\(y^2=x^3+x^2+767x-7837\)	6.6.0.b.1	$[(23, 150)]$
317400.ck1	317400ck1	317400.ck	317400ck	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 23^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 23^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$6$	$0$	$1.029635119$	$1$		$2$	$3391488$	$2.318176$	$23552/27$	$0.83739$	$3.97482$	$[0, 1, 0, 405567, 98597763]$	\(y^2=x^3+x^2+405567x+98597763\)	6.6.0.b.1	$[(1763, 79350)]$